Points algébriques de degré donné sur la courbe d’équation affine y^2=x^5+1

 We determine explicitly algebraic points of a given degree over Q on the curve of affine equationy^2=x^5+1. This note completes previous work of E.F. Schaefer [Sch] who gave a description of points of degree at most two over Q on the even curve.